We investigate the fate of topological states on fractal lattices. Focusing on a spinless chiral
p-wave paired superconductor, we find that this model supports two qualitatively distinct …

Using the Sierpiński carpet and gasket, we investigate whether fractal lattices embedded in
two-dimensional space can support topological phases when subjected to a homogeneous …

We present the appearance of nearly flat-band states with nonzero Chern numbers in a two-
dimensional “diamond-octagon” lattice model comprising two kinds of elementary plaquette …

We report the presence of multiple flat bands in a class of two-dimensional lattices formed by
Sierpinski gasket (SPG) fractal geometries as the basic unit cells. Solving the tight-binding …

We investigate the band structures and transport properties of a two-dimensional model of
topological insulator, with a fractal edge or a fractal bulk. A fractal edge does not affect the …

We present an analytically exact scheme of unraveling a multitude of flat, dispersionless
photonic bands in a kagome waveguide strip where each elementary plaquette hosts a …

We demonstrate, by explicit construction, that a single band tight binding Hamiltonian
defined on a class of deterministic fractals of the b= 3N Sierpinski type can give rise to an …

In the present paper, we utilize the coupled-oscillator model describing the hybridization of
optical phonons in touching and/or overlapping particles in order to study the Raman …

Extended Vicsek fractals (EVF) are the structures constructed by introducing linear spacers
into traditional Vicsek fractals. Here we study the Laplacian spectra of the EVF. In …

We consider a model of interacting Bose-Einstein condensates on small Sierpiński gaskets.
We study eigenstates which are characterized by cyclic supercurrents for each triangular …